Solutions to the Massive HLW IIA Supergravity

TL;DR

This paper presents new supersymmetric solutions in massive supergravity derived through generalized Scherk-Schwarz reduction, utilizing scaling symmetries and cone flow techniques to solve equations of motion.

Contribution

It introduces a novel method for constructing supersymmetric solutions via dimensional reduction along homothetic Killing vectors in supergravity.

Findings

New supersymmetric solutions in massive supergravity.

Solutions constructed using generalized Scherk-Schwarz reduction.

Extension of solutions through cone flow and Killing vector techniques.

Abstract

We find new supersymmetric solutions of the massive supergravity theory which can be constructed by generalized Scherk-Schwarz dimensional reduction of eleven dimensional supergravity, using the scaling symmetry of the equations of motion. Firstly, we construct field configurations which solve the ten dimensional equations of motion by reducing on the radial direction of Ricci-flat cones. Secondly, we will extend this result to the supersymmetric case by performing a dimensional reduction along the flow of a homothetic Killing vector which is the Euler vector of the cone plus a boost.